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Finding the Fourth Proportional to 397.83, 596.79 and 137.80

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Solution

The fourth proportional to 397.83, 596.79 and 137.80 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.83 : 596.79 = 137.80 : x
  2. Step 2: Convert to fraction form
    397.83/596.79 = 137.80/x
  3. Step 3: Cross multiply
    397.83x = 596.79 × 137.80
  4. Step 4: Simplify right side
    397.83x = 82,237.66
  5. Step 5: Solve for x
    x = 82,237.66/397.83
  6. Step 6: Final answer
    x = 206.72

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